English

Total cross sections of $e\gamma\to e X\bar{X}$ processes with $X=\mu,\gamma, e$ via multiloop methods

High Energy Physics - Phenomenology 2021-02-24 v1

Abstract

Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes eγeXXˉe^-\gamma \to e^-X\bar{X} with X=μ,γX=\mu,\,\gamma or ee at arbitrary energies. For the first two processes our results are expressed via classical polylogarithms. The cross section of eγeee+e^-\gamma \to e^-e^-e^+ is represented as a one-fold integral of complete elliptic integral K\mathrm{K} and logarithms. Using our results, we calculate the threshold and high-energy asymptotics and compare them with available results.

Keywords

Cite

@article{arxiv.2010.15430,
  title  = {Total cross sections of $e\gamma\to e X\bar{X}$ processes with $X=\mu,\gamma, e$ via multiloop methods},
  author = {Roman N. Lee and Alexey A. Lyubyakin and Vyacheslav A. Stotsky},
  journal= {arXiv preprint arXiv:2010.15430},
  year   = {2021}
}
R2 v1 2026-06-23T19:44:17.682Z